Spectral properties of a spin-incoherent Luttinger liquid

Feiguin, Adrian; Fiete, Gregory A.

doi:10.1103/physrevb.81.075108

Cited by 49 publications

(84 citation statements)

References 44 publications

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“…If the spin and charge velocities separate and, in particular, the charge velocity is much larger compared to v s , it is possible to access the spin-incoherent Luttinger liquid regime [76][77][78] where the spin channel is thermally disordered but the charge degrees of freedom can effectively be described by their low-energy field theory. These effects will be reflected in a change of slope of the purity once the spin channel is completely disordered.…”

Section: A Entropy Profiles and The Puritymentioning

confidence: 99%

Entropy perspective on the thermal crossover in a fermionic Hubbard chain

2013

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We study the Renyi entropy in the finite-temperature crossover regime of a Hubbard chain using quantum Monte Carlo. The ground-state entropy has characteristic features such as a logarithmic divergence with block size and 2k F oscillations that are a hallmark of its Luttinger liquid nature. The interplay between the (extensive) thermal entropy and the ground-state features is studied and we analyze the temperature-induced decay of the amplitude of the oscillations as well as the scaling of the purity. Furthermore, we show how the spin and charge velocities can be extracted from the temperature dependence of the Renyi entropy, bridging our findings to recent experimental proposals on how to implement the measurement of Renyi entropies in the cold atom system. Studying the Renyi mutual information, we also demonstrate how constraints such as particle number conservation can induce persistent correlations visible in the mutual information even at high temperature.

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Section: A Entropy Profiles and The Puritymentioning

confidence: 99%

Entropy perspective on the thermal crossover in a fermionic Hubbard chain

2013

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“…Here, we find no clear signatures of siLL in the density structure factor near k = πn (not shown). We leave a more in-depth study for future work, where it will likely be beneficial to examine the momentum distribution n(k), as was done for the SU(2) case [58].…”

Section: One-dimensional Su(n) Alkaline Earth Fermions In Optical Latmentioning

confidence: 99%

“…For intermediate temperature t 2 /U ≪ T ≪ t, one can ask whether the system realizes a SU(N ) generalization of the spin-incoherent Luttinger liquid (siLL) [57,58] where the charge degress of freedom show LL-like behaviour with a simultaneous absence of significant spin correlations. Here, we find no clear signatures of siLL in the density structure factor near k = πn (not shown).…”

Section: One-dimensional Su(n) Alkaline Earth Fermions In Optical Latmentioning

confidence: 99%

Adiabatic Loading of One-DimensionalSU(N)Alkaline-Earth-Atom Fermions in Optical Lattices

et al. 2012

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Ultracold fermionic alkaline earth atoms confined in optical lattices realize Hubbard models with internal SU(N ) symmetries, where N can be as large as ten. Such systems are expected to harbor exotic magnetic physics at temperatures below the superexchange energy scale. Employing quantum Monte Carlo simulations to access the low-temperature regime of one-dimensional chains, we show that after adiabatically loading a weakly interacting gas into the strongly interacting regime of an optical lattice, the final temperature decreases with increasing N . Furthermore, we estimate the temperature scale required to probe correlations associated with low-temperature SU(N ) magnetism. Our findings are encouraging for the exploration of exotic large-N magnetic states in ongoing experiments.

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“…One could also use these techniques to study time-dependent, 91,92 and thermodynamic properties, 93 or to calculate spectral functions. 94,95 The method can also become a powerful tool to study quantum chemistry problems in which a magnetic atom is embedded into a system that may be described by a Hückellike theory. 96 Moreover, one could use it in conjunction with ab initio band structure calculations, incorporating the information about the bulk system into the effective 1D chain, and the hybridization terms in the structure of the seed state, paving the way toward realistic first-principles modeling and a better understanding of correlation effects in quantum impurity problems.…”

Section: Discussionmentioning

confidence: 99%

Lanczos transformation for quantum impurity problems ind-dimensional lattices: Application to graphene nanoribbons

Büsser¹,

Martins

Feiguin

2013

Phys. Rev. B

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We present a completely unbiased and controlled numerical method to solve quantum impurity problems in d-dimensional lattices. This approach is based on a canonical transformation, of the Lanczos form, where the complete lattice Hamiltonian is exactly mapped onto an equivalent one-dimensional system, in the same spirit as Wilson's numerical renormalization, and Haydock's recursion method. We introduce many-body interactions in the form of a Kondo or Anderson impurity and we solve the low-dimensional problem using the density matrix renormalization group. The technique is particularly suited to study systems that are inhomogeneous, and/or have a boundary. The resulting dimensional reduction translates into a reduction of the scaling of the entanglement entropy by a factor L d−1 , where L is the linear dimension of the original d-dimensional lattice. This allows one to calculate the ground state of a magnetic impurity attached to an L × L square lattice and an L × L × L cubic lattice with L up to 140 sites. We also study the localized edge states in graphene nanoribbons by attaching a magnetic impurity to the edge or the center of the system. For armchair metallic nanoribbons we find a slow decay of the spin correlations as a consequence of the delocalized metallic states. In the case of zigzag ribbons, the decay of the spin correlations depends on the position of the impurity. If the impurity is situated in the bulk of the ribbon, the decay is slow as in the metallic case. On the other hand, if the adatom is attached to the edge, the decay is fast, within few sites of the impurity, as a consequence of the localized edge states, and the short correlation length. The mapping can be combined with ab initio band structure calculations to model the system, and to understand correlation effects in quantum impurity problems starting from first principles.

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Spectral properties of a spin-incoherent Luttinger liquid

Cited by 49 publications

References 44 publications

Entropy perspective on the thermal crossover in a fermionic Hubbard chain

Entropy perspective on the thermal crossover in a fermionic Hubbard chain

Adiabatic Loading of One-DimensionalSU(N)Alkaline-Earth-Atom Fermions in Optical Lattices

Lanczos transformation for quantum impurity problems ind-dimensional lattices: Application to graphene nanoribbons

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